Euclidean Jordan algebras and some conditions over the spectra of a strongly regular graph

• Type: Article in International Scientific Journal
• Date: 2019-07-02

Authors

Luís Almeida Vieira (Author) FEUP

Journal

The Journal is awaiting validation by the Administrative Services.

Title: 4open

Vol. 2

Pages: 1-19

Indexing

Crossref

Scientific classification

CORDIS: Physical sciences > Mathematics

FOS: Natural sciences > Mathematics

Other information

DOI: 10.1051/fopen/2019017

Abstract (EN): Let G be a primitive strongly regular graph G such that the regularity is less than half of the order of G and A its matrix of adjacency, and let A be the real Euclidean Jordan algebra of real symmetric matrices of order n spanned by the identity matrix of order n and the natural powers of A with the usual Jordan product of two symmetric matrices of order n and with the inner product of two matrices being the trace of their Jordan product. Next the spectra of two Hadamard series of A associated to A2 is analysed to establish some conditions over the spectra and over the parameters of G.

Language: English

Type (Professor's evaluation): Scientific

Notes: https://www.4open-sciences.org/articles/fopen/full_html/2019/01/fopen190010/fopen190010.html https://www.researchgate.net/publication/334191434_Euclidean_Jordan_algebras_and_some_conditions_over_the_spectra_of_a_strongly_regular_graph/fulltext/5d1c42ed92851cf440602efe/Euclidean-Jordan-algebras-and-some-conditions-over-the-spectra-of-a-strongly-regular-graph.pdf

No. of pages: 19